1975792896 has 648 divisors, whose sum is σ = 7597253664. Its totient is φ = 487710720.

The previous prime is 1975792849. The next prime is 1975792913. The reversal of 1975792896 is 6982975791.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 45948651 + ... + 45948693.

Almost surely, 2^1975792896 is an apocalyptic number.

1975792896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1975792896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3798626832).

1975792896 is an abundant number, since it is smaller than the sum of its proper divisors (5621460768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1975792896 is a wasteful number, since it uses less digits than its factorization.

1975792896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 103 counting only the distinct ones).

The product of its digits is 17146080, while the sum is 63.

The square root of 1975792896 is about 44449.8919683727. The cubic root of 1975792896 is about 1254.8172294061.

The spelling of 1975792896 in words is "one billion, nine hundred seventy-five million, seven hundred ninety-two thousand, eight hundred ninety-six".